leetcode-problemset/leetcode-cn/originData/binary-trees-with-factors.json

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            "title": "Binary Trees With Factors",
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            "content": "<p>Given an array of unique integers, <code>arr</code>, where each integer <code>arr[i]</code> is strictly greater than <code>1</code>.</p>\n\n<p>We make a binary tree using these integers, and each number may be used for any number of times. Each non-leaf node&#39;s value should be equal to the product of the values of its children.</p>\n\n<p>Return <em>the number of binary trees we can make</em>. The answer may be too large so return the answer <strong>modulo</strong> <code>10<sup>9</sup> + 7</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> arr = [2,4]\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> We can make these trees: <code>[2], [4], [4, 2, 2]</code></pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> arr = [2,4,5,10]\n<strong>Output:</strong> 7\n<strong>Explanation:</strong> We can make these trees: <code>[2], [4], [5], [10], [4, 2, 2], [10, 2, 5], [10, 5, 2]</code>.</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= arr.length &lt;= 1000</code></li>\n\t<li><code>2 &lt;= arr[i] &lt;= 10<sup>9</sup></code></li>\n\t<li>All the values of <code>arr</code> are <strong>unique</strong>.</li>\n</ul>\n",
            "translatedTitle": "带因子的二叉树",
            "translatedContent": "<p>给出一个含有不重复整数元素的数组 <code>arr</code> ，每个整数 <code>arr[i]</code> 均大于 1。</p>\n\n<p>用这些整数来构建二叉树，每个整数可以使用任意次数。其中：每个非叶结点的值应等于它的两个子结点的值的乘积。</p>\n\n<p>满足条件的二叉树一共有多少个？答案可能很大，返回<strong> 对 </strong><code>10<sup>9</sup> + 7</code> <strong>取余</strong> 的结果。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1:</strong></p>\n\n<pre>\n<strong>输入:</strong> <code>arr = [2, 4]</code>\n<strong>输出:</strong> 3\n<strong>解释:</strong> 可以得到这些二叉树: <code>[2], [4], [4, 2, 2]</code></pre>\n\n<p><strong>示例 2:</strong></p>\n\n<pre>\n<strong>输入:</strong> <code>arr = [2, 4, 5, 10]</code>\n<strong>输出:</strong> <code>7</code>\n<strong>解释:</strong> 可以得到这些二叉树: <code>[2], [4], [5], [10], [4, 2, 2], [10, 2, 5], [10, 5, 2]</code>.</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= arr.length &lt;= 1000</code></li>\n\t<li><code>2 &lt;= arr[i] &lt;= 10<sup>9</sup></code></li>\n\t<li><code>arr</code> 中的所有值 <strong>互不相同</strong></li>\n</ul>\n",
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